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Nature of Operations and Summary of Significant Accounting Policies - Additional Information (Details) | 3 Months Ended | 12 Months Ended
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Jan. 01, 2022 USD ($) | Jan. 02, 2021 USD ($) | Jan. 01, 2022 USD ($) segment | Jan. 02, 2021 USD ($) | Dec. 28, 2019 USD ($)
Nature of Operations [Line Items] |  |  |  |  |
Number of reportable segments | segment |  |  | 3 |  |
Revenue recognized from contract liabilities |  |  | $ 33,128,000 | $ 30,426,000 |
Revenue, remaining performance obligation, amount | $ 37,905,000 |  | $ 37,905,000 |  |
Maturity period for bank acceptance |  |  | 6 months |  |
Due from bankers acceptances drafts | 8,049,000 | $ 9,445,000 | $ 8,049,000 | 9,445,000 |
Finite and indefinite lived intangible assets acquired |  |  | 63,228,000 |  |
Impairment of intangible assets, finite-and definite lived |  | 1,861,000 | 804,000 | 1,861,000 | $ 2,336,000
Definite-lived intangible assets | 170,420,000 | 136,538,000 | $ 170,420,000 | 136,538,000 |
Weighted average useful life of acquired intangible assets |  |  | 13 years |  |
Amortization expense of acquired intangible assets |  |  | $ 20,869,000 | 19,125,000 | 20,154,000
Estimated Future Amortization Expense [Abstract] |  |  |  |  |
2022 | 20,994,000 |  | 20,994,000 |  |
2023 | 18,725,000 |  | 18,725,000 |  |
2024 | 17,830,000 |  | 17,830,000 |  |
2025 | 15,754,000 |  | 15,754,000 |  |
2026 | 15,119,000 |  | 15,119,000 |  |
Thereafter | $ 81,998,000 |  | 81,998,000 |  |
Goodwill impairment loss |  |  | 0 | 0 |
Acquisition related costs |  |  | $ 3,655,000 | 485,000 | 843,000
Joint Venture with an Italian Company |  |  |  |  |
Nature of Operations [Line Items] |  |  |  |  |
Remaining ownership interest with an option to purchase | 50.00% |  | 50.00% |  |
Italian Company | Joint Venture with an Italian Company |  |  |  |  |
Nature of Operations [Line Items] |  |  |  |  |
Ownership interest | 50.00% |  | 50.00% |  |
Tradenames |  |  |  |  |
Nature of Operations [Line Items] |  |  |  |  |
Indefinite-lived intangible assets | $ 28,923,000 | 24,427,000 | $ 28,923,000 | 24,427,000 |
Product technology |  |  |  |  |
Nature of Operations [Line Items] |  |  |  |  |
Impairment of intangible assets, finite-and definite lived | 499,000 |  | 499,000 |  |
Definite-lived intangible assets | 29,645,000 | 23,451,000 | 29,645,000 | 23,451,000 |
Tradenames |  |  |  |  |
Nature of Operations [Line Items] |  |  |  |  |
Definite-lived intangible assets | 3,649,000 | 2,799,000 | 3,649,000 | 2,799,000 |
Wood Processing |  |  |  |  |
Nature of Operations [Line Items] |  |  |  |  |
Impairment of intangible assets, finite-and definite lived |  |  |  | 1,861,000 | $ 2,336,000
Definite-lived intangible assets | $ 443,000 |  | $ 443,000 |  |
Scenario, Adjustment | Madill | Tradenames |  |  |  |  |
Nature of Operations [Line Items] |  |  |  |  |
Indefinite-lived intangible assets |  | (1,300,000) |  | (1,300,000) |
Scenario, Adjustment | Tradenames | Madill |  |  |  |  |
Nature of Operations [Line Items] |  |  |  |  |
Definite-lived intangible assets |  | $ 1,300,000 |  | $ 1,300,000 |

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